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ARIMA(自回归积分滑动平均)模型×普通最小二乘法 (OLS) 回归×向量误差修正模型 (VECM)×
领域计量经济学计量经济学计量经济学
方法族Regression modelRegression modelRegression model
起源年份201520191987
提出者Box & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squaresEngle & Granger
类型Univariate time-series modelLinear regressionMultivariate time-series model
开创性文献Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Engle, R. F. & Granger, C. W. J. (1987). Co-Integration and Error Correction: Representation, Estimation, and Testing. Econometrica, 55(2), 251-276. DOI ↗
别名Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuvector error correction model, error correction model, cointegration model, VECM (Vektör Hata Düzeltme Modeli)
相关554
摘要ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).The Vector Error Correction Model is a multivariate time-series model for cointegrated series that captures both their short-run dynamics and their long-run equilibrium relationship. It was introduced by Engle and Granger in 1987 as part of the cointegration and error-correction framework.
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ScholarGate方法对比: ARIMA · OLS Regression · VECM. 于 2026-06-19 检索自 https://scholargate.app/zh/compare